Desingularization of a hyperelliptic curve associated with a doubly periodic Dirac potential
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Submission date: 17. Nov. 1998
published in: Bulletin of the Greek Mathematical Society, 46 (2002), p. 141-145
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Let (q(x), p(x)) be a doubly periodic Dirac potential; denote by L the lattice of its periods. The associated spectral curve is a (possibly singular) hyperelliptic covering of the elliptic curve C / L. We show that by varying L we can obtain a smooth spectral curve of the same genus.